Solve the equation with a squared term: $$4 x ^2 - 7 = 137$$
A)x = ±3
B)x = 6
C)x = ±6
D)x = 3

Name: Solve the equation with a squared term: \[4 x ^2 - 7 = 137\] A)x = ±3 B)x = 6 C)x = ±6 D)x = 3
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Question

Quizplus · Accepted Answer

To solve the equation, we first need to isolate the squared term by adding 7 to both sides:

\begin{align*}
4x^2 - 7 &= 137 \
4x^2 &= 144 \
x^2 &= 36 \
\end{align*}

Now, taking the square root of both sides gives us:

$$x = \pm 6$$

Therefore, the answer is C, since x can be either positive or negative 6.

Solve the Equation with a Squared Term 4x2−7=1374 x ^2 - 7 = 1374x2−7=137

Solve the Equation with a Squared Term $4 x ^2 - 7 = 137$